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Finding the Fourth Proportional to 4,287.66, 6,431.96 and 1,365.29

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Solution

The fourth proportional to 4,287.66, 6,431.96 and 1,365.29 is: 2,048.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.66 : 6,431.96 = 1,365.29 : x
  2. Step 2: Convert to fraction form
    4,287.66/6,431.96 = 1,365.29/x
  3. Step 3: Cross multiply
    4,287.66x = 6,431.96 × 1,365.29
  4. Step 4: Simplify right side
    4,287.66x = 8,781,490.67
  5. Step 5: Solve for x
    x = 8,781,490.67/4,287.66
  6. Step 6: Final answer
    x = 2,048.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.